Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2275/29,1605/623
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 2275,1605
Greatest Common Factor of Numerators i.e. GCF of 2275,1605 is 5 .
LCM of Denominators means LCM of 29,623 as per the given fractions.
LCM of 29,623 is 18067 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2275,1605
5 | 2275, 1605 |
455, 321 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2275
List of positive integer factors of 2275 that divides 2275 without a remainder.
1,5,7,13,25,35,65,91,175,325,455,2275
Factors of 1605
List of positive integer factors of 1605 that divides 1605 without a remainder.
1,3,5,15,107,321,535,1605
Greatest Common Factor
We found the factors 2275,1605 . The biggest common factor number is the GCF number.
So the greatest common factor 2275,1605 is 5.
Lets's calculate LCM of 29,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 18067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/18067
Therefore, the GCF of Fractions 2275/29,1605/623 is 5/18067
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 29,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,623) x common factors =1 x 1 = 1
LCM(29,623) = ( 29 × 623 ) / 1
LCM(29,623) = 18067 / 1
LCM(29,623) = 18067
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 2275/29, 1605/623?
Answer: GCF of Numerators as per given numbers 2275/29, 1605/623 is
GCF of Numerators i.e. for 2275,1605 is 5
LCM of denominators i.e. for 29,623 is 18067.
Thus, GCF of Fractions is 5/18067.Finally, GCF of Fractions for 2275/29, 1605/623 is 5/18067.